math_crasher
Are the two triangles similar? If so, how do you know? Figure is below
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math_crasher
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henpen
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If all three sides are in the same ratio with the other triangle's sides, then it is similar.
henpen
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i.e.:\[\frac{12}{8}=\frac{7.5}{5}\]
math_crasher
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What theorem or postulate you think it would be?
henpen
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The one that says 'If all of triangle A's sides are in the same proportion to each of the matching sides of triangle B, A and B are similar'
You could probably derive that from more fundamental principals.
math_crasher
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Did you see the figure above?
henpen
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Yes. 0M=1.5CA, ON=1.5CB, and MN=1.5AB
math_crasher
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Ah i see so if the triangle has to be proportionate to the other one they have to be equal on all sides?
henpen
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Yes, as therefore all the angles are forced into being the same.
math_crasher
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Ah never mind I get it
math_crasher
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So would you say it is SSS since its measured by its sides?
henpen
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Yes.
math_crasher
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Thank you so much